A note on moment inequality for harmonic used better than aged in expectation (HUBAE) class of life distributions with hypothesis testing application
نویسنده
چکیده
The harmonic used better than aged in expectation HUBAE class of life distributions is considered. A moment inequality is derived for HUBAE distributions which demonstrate that if the mean life is finite, then all moments exist. Based on this inequality, a new test statistic for testing exponentiality against HUBAE is introduced . It is shown that the proposed test is simple, has high relative efficiency for some commonly used alternatives . Critical values are tabulated for sample sizes n = 5(1)40. The set of real data is used as a practical application of the proposed test in the medical science.
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